The existence and asymptotic behaviour of solutions of certain class of the integro-differential equations. (English) Zbl 0728.45005

Šmarda, Zdeněk

Arch. Math., Brno 26, No. 1, 7-18 (1990).

The paper generalizes the theorem on the existence and asymptotic behavior of solutions of a certain class of integro-differential equations - with respect to known qualitative methods of investigation available for ordinary differential equations - in a neighbourhood of the singular point \([0^+,0]\). Different theorems are proved, and an explicit example is discussed.

Reviewer: V.C.Boffi (Roma)

MSC:

45J05

Integro-ordinary differential equations

Keywords:

existence; asymptotic behavior; singular point